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Popular >

|x-12|<= |4-x|

Solution

∣ x - 12 ∣ \leq ∣ 4 - x ∣

Solution

x \geq 8

+1

Interval Notation

[8, \infty)

Solution steps

∣ x - 12 ∣ \leq ∣ 4 - x ∣

Find positive and negative intervals

x \leq 4, 4 < x < 12, x \geq 12

Solve the inequality for each interval

No Solution or 8 \leq x < 12 or x \geq 12

Merge Overlapping Intervals

x \geq 8

Popular Examples

factor 27x^3+72y^3 factor

27 x^{3} + 72 y^{3}

2 x^{2} + x + 6 = 0

x - 12 = 8

3 a \geq 12

factor (x+2)^2-2 factor

(x + 2)^{2} - 2

Frequently Asked Questions (FAQ)

What is |x-12|<= |4-x| ?
The solution to |x-12|<= |4-x| is x>= 8